## anonymous one year ago Which of the following points lie in the solution set to the following system of inequalities? y less than or greater to x - 5 y greater than or equal to -x - 4 (-5, 2) (5, -2) (-5, -2) (5, 2)

1. anonymous

@pooja195

2. anonymous

@Loser66

3. anonymous

@mathmate

4. anonymous

@triciaal

5. anonymous

y less than or greater to x-5 ? how? maybe less than or equal to x-5

6. anonymous

Y less than or equal to X -5

7. anonymous

is it sorry @esamalaa

8. triciaal

solution set is when the (x, y) combination satisfies both conditions

9. triciaal

set the y's equal and solve for x

10. anonymous

so were do i plug in the Y ?

11. triciaal

|dw:1441566325261:dw|

12. anonymous

|dw:1441566520025:dw|

13. anonymous

i think thats it?

14. triciaal

|dw:1441566492291:dw|

15. triciaal

the shaded area is the solution to the second inequality

16. anonymous

(-2,-2)

17. triciaal

the original you have greater than in my drawing you have less than shaded less than this is for the second. I do not know what the first one should read. do the first one and mark the solution where it overlaps with the area for second one find the common point in that area

18. triciaal

(-2, -2) is not one of the answer choices!!

19. anonymous

Which of the following points lie in the solution set to the following system of inequalities? y is less than or equal to x - 5 y is greater than or equal to -x - 4 (-5, 2) (5, -2) (-5, -2) (5, 2) i fixed it

20. triciaal

|dw:1441567059010:dw|

21. triciaal

|dw:1441567278435:dw|

22. anonymous

|dw:1441567684141:dw|

23. anonymous

24. triciaal

|dw:1441567739832:dw|

25. triciaal

yes that is the equation for the second one to get the line then for the inequality it says greater than so above the line shaded red

26. triciaal

the first equation y = x -5 the line is green for the inequality less than so below the line

27. triciaal

solution is where they overlap has both green and red the exact point at which they meet is the black spot (1/2, -9/2) the question is asking: which of the given coordinates is in the combined red and green section?

28. anonymous

(-5,2) i think thats the poiny

29. triciaal

can you see the section that is both red and green?

30. anonymous

|dw:1441568472205:dw|

31. triciaal

the black dot is where the lines meet x = 1/2 there

32. triciaal

for the solution x has to be more see it is positive?

33. anonymous

ya i see that

34. anonymous

so it has to be B OR D?

35. triciaal

correct so use x = 5 in each equation and find the y value

36. anonymous

D? i think its B?

37. triciaal

we already determined its one or the other

38. triciaal

plot them and see if in the combined section

39. anonymous

lol sorry i messed up i meant to sayi think its B

40. triciaal

and now you know how to check

41. anonymous

thanks

42. triciaal

you are welcome